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ПРИЛОЖЕНИЯ 1 страница
Приложение 1
Таблица эначений функции
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| 0, 0
| 0, 3989
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| 0, 1
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| 0, 2
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| 0, 3
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| 0, 4
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| 0, 5
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| 0, 6
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| 0, 7
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| 0, 8
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| 0, 9
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| 1, 0
| 0, 2420
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| 1, 1
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| 1, 2
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| 1, 3
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| 1, 4
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| 1, 5
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| 1, 6
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| 1, 7
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| 1.8
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| 1, 9
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| 2, 0
| 0, 0540
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| 2, 1
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| 2, 2
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| 2, 3
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| 2, 4
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| 2, 5
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| 2, 6
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| 0132'
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| 2.7
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| 2, 8
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| 2, 9
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| 3, 0
| 0, 0044
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| 3, 1
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| 3, 2
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| 3, 3
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| 3, 4
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| 3.5
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| 3, 6
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| 3, 7
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| 3.8
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| 3, 9
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Приложение 2
Таблица значений функции
x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| x
| Ф(x)
| 0, 00
| 0, 0000
| 0, 31
| 0, 1217
| 0, 61
| 0, 2291
| 0, 91
| 0, 3186
| 1.21
| 0.3869
| 1, 51
| 0, 4345
| 1, 81
| 0, 4649
| 2, 22
| 0, 4868
| 2, 82
| 0, 4976
| 0, 01
| 0, 0040
| 0, 32
| 0, 1255
| 0, 62
| 0, 2324
| 0, 92
| 0, 3212
| 1, 22
| 0, 3883
| 1, 52
| 0, 4357
| 1, 82
| 0, 4656
| 2, 24
| 0, 4875
| 2, 84
| 0, 4977
| 0, 02
| 0, 0080
| 0, 33
| 0, 1293
| 0, 63
| 0, 2357
| 0, 93
| 0, 3238
| 1, 23
| 0, 3907
| 1, 53
| 0, 4370
| 1, 83
| 0, 4664
| 2, 26
| 0, 4881
| 2, 86
| 0, 4979
| 0, 03
| 0, 0120
| 0, 34
| 0, 1331
| 0, 64
| 0, 2389
| 0, 94
| 0, 3264
| 1, 24
| 0, 3925
| 1, 54
| 0, 4.382
| 1, 84
| 0, 4671
| 2, 28
| 0, 4887
| 2, 88
| 0, 4980
| 0, 04
| 0, 0160
| 0.35
| 0, 1368
| 0, 65
| 0, 2422
| 0, 95
| 0, 3289
| 1, 25
| 0, 3944
| 1, 55
| 0, 4394
| 1, 85
| 0, 4678
| 2, 30
| 0, 4893
| 2, 90
| 0, 4981
| 0, 05
| 0, 0199
| 0, 36
| 0, 1406
| 0, 66
| 0, 2454
| 0, 96
| 0.3315
| 1, 26
| 0, 3962
| 1, 56
| 0, 4406
| 1, 86
| 0.4686
| 2, 32
| 0, 4898
| 2.92
| 0, 4982
| 0, 06
| 0, 0239
| 0, 37
| 0, 1443
| 0, 67
| 0, 2486
| 0, 97
| 0, 3340
| 1, 27
| '0, 3980
| 1, 57
| 0, 4418
| 1, 87
| 0, 4693
| 2, 34
| 0, 4904
| 2, 94
| 0, 4984
| 0, 07
| 0, 0279
| 0, 38
| 0, 1480
| 0, 68
| 0, 2517
| 0, 98
| 0, 3365
| 1, 28
| 0, 3997
| 1, 58
| 0, 4429
| 1, 88
| 0, 4699
| 2, 30
| 0, 4909
| 2, 96
| 0, 4985
| 0, 08
| 0, 0319
| 0, 39
| 0, 1517
| 0, 69
| 0, 2549
| 0.99
| 0, 3389
| 1, 29
| 0, 4015
| 1, 59
| 0, 4441
| 1, 89
| 0, 4706
| 2, 38
| 0.4913
| 2, 98
| 0, 4985
| 0, 09
| 0.0359
| 0, 40
| 0, 1554
| 0, 70
| 0, 2580
| 1, 00
| 0, 3413
| 1, 30
| 0, 4032
| 1, 60
| 0, 4452
| 1, 90
| 0, 4713
| 2, 40
| 0, 4918
| 3, 00
| 0, 49865
| 0, 10
| 0.0398
| 0, 41
| 0, 1591
| 0, 71
| 0, 2611
| 1, 01
| 0, 3438
| 1, 31
| 0, 4049
| 1, 61
| 0, 4463
| 1, 91
| 0, 4719
| 2, 42
| 0.4922
| 3, 20
| 0, 49931
| 0.11
| 0, 0438
| 0, 42
| 0, 1628
| 0, 72
| 0, 2642
| 1, 02
| 0, 3461
| 1, 32
| 0, 4066
| 1, 62
| 0, 4474
| 1, 92
| 0, 4726
| 2.44
| 0, 4927
| 3, 40
| 0, 49966
| 0.12
| 0, 0478
| 0, 43
| 0, 1664
| 0, 73
| 0, 2673
| 1, 03
| 0, 3485
| 1.33
| 0, 4082
| 1, '33
| 0, 4484
| 1, 93
| 0.4732
| 2, 46
| 0, 4931
| 3, 60
| 0, 499841
| 0, 13
| 0, 0517
| 0, 44
| 0, 1700
| 0, 74
| 0, 2703
| 1, 04
| 0, 3508
| 1, 34
| 0, 4099
| 1, 64
| 0, 4495
| 1, 94
| 0, 4738
| 2, 48
| 0, 4934
| 3, 80
| 0, 499928
| 0, 14
| 0, 0557
| 0, 45
| 0, 1736
| 0, 75
| 0, 2734
| 1, 05
| 0, 3531
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| 0, 4115
| 1, 65
| 0, 4505
| 1, 95
| 0, 4744
| 2.50
| 0, 4938
| 4, 00
| 0, 499968
| 0, 15
| 0, 0596
| 0, 46
| 0, 1772
| 0, 76
| 0, 2764
| 1, 06
| 0, 3554
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| 0, 4131
| 1, 60
| 0.4515
| 1, 96
| 0, 4750
| 2, 52
| 0, 4941
| 4, 50
| 0, 499997
| 0, 16
| 0, 0636
| 0, 47
| 0, 1808
| 0, 77
| 0, 2794
| 1, 07
| 0, 3577
| 1, 37
| 0, 4147
| 1.67
| 0, 4525
| 1, 97
| 0, 4756
| 2, 54
| 0, 4945
| 5, 00
| 0, 499997
| 0, 17
| 0, 0675
| 0, 48
| 0, 1844
| 0, 78
| 0, 2823
| 1, 08
| 0, 3599
| 1, 38
| 0, 4162
| 1, 68
| 0, 4535
| 1, 98
| 0, 4761
| 2, 56
| 0, 4948
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| 0, 18
| 0, 0714
| 0, 49
| 0, 1879
| 0.79
| 0, 2852
| 1, 09
| 0, 3621
| 1, 39
| 0, 4177
| 1, 69
| 0.4545
| 1, 99
| 0, 4767
| 2, 58
| 0, 4951
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| 0, 19
| 0.0753
| 0, 50
| 0, 1915
| 0, 80
| 0, 2881
| 1, 10
| 0, 3643
| 1, 40
| 0, 4192
| 1, 70
| 0, 4554
| 2, 00
| 0, 4772
| 2, 60
| 0, 4953
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| 0, 20
| 0, 0793
| 0.51
| 0, 1950
| 0, 81
| 0, 2910
| 1, 11
| 0, 3665
| 1, 41
| 0, 4207
| 1.71
| 0, 4564 1
| 2, 02
| 0, 4783
| 2, 62
| 0, 4956
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| 0, 21
| 0.0832
| 0, 52
| 0, 1985
| 0, 82
| 0, 2939
| 1, 12
| 0, 3686
| 1, 42
| 0, 4222
| 1, 72
| 0, 4573!
| 2, 04
| 0, 4793
| 2, 64
| 0, 4959
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| 0, 22
| 0, 0871
| 0, 53
| 0, 2019
| 0, 83
| 0, 2967
| 1, 13
| 0, 3708
| 1, 43
| 0, 4230
| 1, 73
| 0.4582
| 2, 06
| 0, 4803
| 2, 66
| 0, 4961
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| 0, 23
| 0, 0910
| 0, 54
| 0, 2054
| 0, 84
| 0, 2995
| 1, 14
| 0.3729
| , 144
| 0, 4251
| 1, 74
| 0, 4591
| 2, 08
| 0, 4812
| 2, 68
| 0, 4963
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| 0, 24
| 0, 0948
| 0, 55
| 0, 2088
| 0, 85
| 0, 3023
| 1, 15
| 0, 3749
| 1, 45
| 0, 4265
| 1, 75
| 0, 4599
| 2, 10
| 0, 4821
| 2, 70
| 0, 4965
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| 0, 25
| 0, 0987
| 0, 56
| 0.2123
| 0, 86
| 0, 3051
| 1, 16
| 0, 3770
| 1, 46
| 0, 4279
| 1, 76
| 0, 4608
| 2, 12
| 0, 4830
| 2, 72
| 0, 4967
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| 0, 26
| 0, 1026
| 0, 57
| 0, 2157
| 0, 87
| 0, 3078
| 1, 17
| 0, 3790
| 1, 47
| 0, 4292
| 1, 77
| 0, 4616
| 2, 14
| 0.4838
| 2, 74
| 0, 4969
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| 0, 27
| 0, 1064
| 0, 58
| 0, 2190
| 0, 88
| 0, 3106
| 1, 18
| 0, 3810
| 1, 48
| 0, 4305
| 1, 78
| 0.4625
| 2, 16
| 0, 4846
| 2, 76
| 0, 4971
|
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| 0, 28
| 0, 1103
| 0, 59
| 0, 2224
| 0, 89
| 0, 3133
| 1, 19
| 0, 3830
| 1.49
| 0, 4319
| 1, 79
| 0, 4633
| 2, 18
| 0, 4854
| 2, 78
| 0, 4973
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| 0, 29
| 0, 1141
| 0, 60
| 0, 2257
| 0, 90
| 0, 3159
| 1.20
| 0, 3849
| 1, 50
| 0, 4332
| 1, 80
| 0, 4641
| 2, 20
| 0, 4861
| 2, 80
| 0, 4974
|
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| 0, 30
| 0, 1179
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Приложение 3
Таблица значений
n
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| n
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| 0, 95
| 0, 99
| 0, 999
| 0, 95
| 0, 99
| 0, 999
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| 2, 78
2, 57
2, 45
2, 37
2, 31
2.26
2.23
2, 20
2, 18
2, 16
2, 15
2, 13
2, 12
2, 11
2, 10
| 4, 60
4.03
3, 71
3, 50
3, 36
3, 25
3, 17
3, 11
3, 06
3, 01
2, 98
2.95
2, 92
2, 90
2, 88
| 8, 61
6, 86
5, 96
5, 41
5, 04
4, 78
4, 59
4, 44
4, 32
4, 22
4, 14
4, 07
4, 02
3, 97
3, 92
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∞
| 2, 093
2, 064
2, 045
2, 032
2, 023
2, 016
2, 009
2, 001
1, 996
1, 001
1, 987
1, 984
1, 980
1, 960
| 2, 861 2.797 2.756 2, 720 2.708 2, 692 2, 679 2, 662 2, 649 2, 640 2.633 2, 627 2, 617 2.576
| 2, 861 2.797 2.756 2, 720 2.708 2, 692 2, 679 2, 662 2, 649 2, 640 2.633 2, 627 2, 617 2.576
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Приложение 4
Таблица значений
n
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| n
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| 0, 95
| 0, 99
| 0, 999
| 0, 95
| 0, 99
| 0, 999
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17 1
8 19
| 1, 37
1, 09
0, 92
0, 80
0, 71
0, 65
0, 59
0.55
0, 52
0, 48
0, 46
0, 44
0, 42
0.40
0, 39
| 2, 67
2, 01
1, 62
1, 38
1, 20
1, 08
0, 98
0.90
0, 83
0, 78
0, 73
0, 70
0.66
0.63
0, 60
| 5.64
3, 88
2, 98
2, 42
2, 06
1, 80
1.60
1, 45
1, 33
1, 23
1, 15
1.07
1, 01
0.96
0.92
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| 0.37
0, 32
0, 28
0.26
0, 24
0, 22
0.21
0, 188
0, 174
0, 161
0.151
0, 143
0, 115
0.099
0.089
| 0, 58
0, 49
0, 43
0, 38
0, 35
0, 32
0, 30
0, 269
0, 245
0, 226
0.211
0, 198
0, 160
0, 136
0, 120
| 0, 88
0.73
0, 63
0.56
0, 50
0, 46
0, 43
0, 38
0, 34
0, 31
0, 29
0.27
0, 211
0, 185
0, 162
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Приложение 5
Критические точки распределения
Число степеней свободы k
| Уровень значимости α
| 0, 01
| 0, 025
| 0, 05
| 0, 95
| 0, 975
| 0, 89
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| 6, 6
9, 2
11, 3
13, 3
15, 1
16, 8
18, 5
20, 1
21, 7
23, 2
24, 7
26, 2
27, 7
29, 1
30, 6
32, 0
33, 4
34, 8
36, 2
37, 6
38, 9
40, 3
41, 6
43, 0
44, 3
45, 6
47, 0
48, 3
49, 6
50, 9
| 5, 0
7, 4
9, 4
11, 1
12, 8
14, 4
16, 0
17, 5
19, 0
20, 5
21, 9
23, 3
24, 7
26, 1
27, 5
28, 8
30, 2
31, 5
32, 9
34, 2
35, 5
36, 8
38, 1
39, 4
40, 6
41, 9
43, 2
44, 5
45, 7
47, 0
| 3, 8
6, 0
7, 8
9, 5
11, 1
12.6
14, 1
15, 5
16, 9
18, 3
19.7
21, 0
22, 4
23, 7
25, 0
26.3
27.6
28, 9
30, 1
31, 4
32.7
33, 9
35, 2
36, 4
37, 7
38, 9
40.1
41, 3
42, 6
43, 8
| 0, 0039
0.103
0, 352
0, 711
1, 15
1.64
2.17
2, 73
3, 33
3.94
4.57
5, 23
5, 89
6, 57
7, 26
7, 96
8, 67
9, 39
10, 1
10, 9
11, 6
12, 3
13, 1
13, 8
14, 6
15, 4
16, 2
16, 9
17.7
18.5
| 0, 00098
0, 051
0, 216
0, 484
0, 831
1, 24
1, 69
2, 18
2, 70
3, 25
3.82
4.40
5.01
5.63
6, 26
6, 91
7, 56
8, 23
8.91
9, 59
10, 3
11.0
11, 7
12, 4
13, 1
13, 8
14.6
15, 3
16, 0
16.8
| 0, 00016
0, 020
0, 115
0, 297
0, 554
0, 872
1, 24
1, 65
2, 09
2, 55
3, 05
3, 57
4, 11
4, 66
5, 23
5, 81
6, 41
7, 01
7, 63
8, 26
8, 90
9, 54
10, 2
10, 9
11, 5
12, 2
12, 9
13, 6
14, 3
15, 0
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Приложение 6
Критические точки распределения Стьюдента
Число
степеней
свободы
| Уровень значимости α (двусторонняя критическая область)
|
0, 10
|
0, 05
|
0, 02
|
0, 01
|
0, 002
|
0, 001
|
| 6, 31
| 12, 7
| 31, 82
| 63, 7
| 318, 3
| 637, 0
|
| 2, 92
| 4, 30
| 6, 97
| 9, 92
| 22, 33
| 31, 6
|
| 2, 35
| 3, 18
| 4, 54
| 5, 84
| 10, 22
| 12, 9
|
| 2, 13
| 2, 78
| 3, 75
| 4, 60
| 7, 17
| 8, 61
|
| 2, 01
| 2, 57
| 3, 37
| 4, 03
| 5, 89
| 6, 86
|
| 1, 94
| 2, 45
| 3, 14
| 3, 71
| 5, 21
| 5, 96
|
| 1, 89
| 2, 36
| 3, 00
| 3, 50
| 4, 79
| 5, 40
|
| 1, 86
| 2, 31
| 2, 90
| 3, 36
| 4, 50
| 5, 04
|
| 1, 83
| 2, 26
| 2, 82
| 3, 25
| 4, 30
| 4, 78
|
| 1, 81
| 2, 23
| 2, 76
| 3, 17
| 4, 14
| 4, 59
|
| 1, 80
| 2, 20
| 2, 72
| 3, 11
| 4, 03
| 4, 44
|
| 1, 78
| 2, 18
| 2, 68
| 3, 05
| 3, 93
| 4, 32
|
| 1, 77
| 2, 16
| 2, 65
| 3, 01
| 3, 85
| 4, 22
|
| 1, 76
| 2, 14
| 2, 62
| 2, 98
| 3, 79
| 4, 14
|
| 1, 75
| 2, 13
| 2, 60
| 2, 95
| 3, 73
| 4, 07
|
| 1, 75
| 2, 12
| 2, 58
| 2, 92
| 3, 69
| 4, 01
|
| 1, 74
| 2, 11
| 2, 57
| 2, 90
| 3, 65
| 3, 96
|
| 1, 73
| 2, 10
| 2, 55
| 2, 88
| 3, 61
| 3, 92
|
| 1, 73
| 2, 09
| 2, 54
| 2, 86
| 3, 58
| 3, 88
|
| 1, 73
| 2, 09
| 2, 53
| 2, 85
| 3, 55
| 3, 85
|
| 1, 72
| 2, 08
| 2, 52
| 2, 83
| 3, 53
| 3, 82
|
| 1, 72
| 2, 07
| 2, 51
| 2, 82
| 3, 51
| 3, 79
|
| 1, 71
| 2, 07
| 2, 50
| 2, 81
| 3, 49
| 3, 77
|
| 1, 71
| 2, 06
| 2, 49
| 2, 80
| 3, 47
| 3, 74
|
| 1, 71
| 2, 06
| 2, 49
| 2, 79
| 3, 45
| 3, 72
|
| 1, 71
| 2, 06
| 2, 48
| 2, 78
| 3, 44
| 3, 71
|
| 1, 71
| 2, 05
| 2, 47
| 2, 77
| 3, 42
| 3, 69
|
| 1, 70
| 2, 05
| 2, 46
| 2, 76
| 3, 40
| 3, 66
|
| 1, 70
| 2, 05
| 2, 46
| 2, 76
| 3, 40
| 3, 66
|
| 1, 70
| 2, 04
| 2, 46
| 2, 75
| 3, 39
| 3, 65
|
| 1, 68
| 2, 02
| 2, 42
| 2, 70
| 3, 31
| 3, 55
|
| 1, 67
| 2, 00
| 2, 39
| 2, 66
| 3, 23
| 3, 46
|
| 1, 66
| 1, 98
| 2, 36
| 2, 62
| 3, 17
| 3, 37
| ∞
| 1, 64
| 1, 96
| 2, 33
| 2, 58
| 3, 09
| 3, 29
|
| 0, 05
| 0, 025
| 0, 01
| 0, 005
| 0, 001
| 0, 0005
|
| Уровень значимости α (односторонняя критическая область)
|
|
|